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Finding the Fourth Proportional to 523.12, 721.20 and 404.88

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Solution

The fourth proportional to 523.12, 721.20 and 404.88 is: 558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 721.20 = 404.88 : x
  2. Step 2: Convert to fraction form
    523.12/721.20 = 404.88/x
  3. Step 3: Cross multiply
    523.12x = 721.20 × 404.88
  4. Step 4: Simplify right side
    523.12x = 291,999.46
  5. Step 5: Solve for x
    x = 291,999.46/523.12
  6. Step 6: Final answer
    x = 558.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.